g explain the central limit theorem. Describe an experiment that could be used to verify the central limit theorem.

Answers

Answer 1

Answer:

Throughout the clarification segment elsewhere here, the definition of it's concern is mentioned.

Step-by-step explanation:

Central theorem:

Once we take repeated samples from some kind of particular group, the central limit theorem shows us precisely whatever the form including its distribution implies.  Accurately, the distributions of means determined via repeated measurements can reach normality as when the small samples get bigger.

Statement:

If x would be any distribution of random sample 30 more wide with either a mean = [tex]\mu[/tex]

standard deviation = [tex]\sigma[/tex]

After which [tex]\bar{x}}[/tex] would have had a roughly normal distribution which

mean = [tex]\mu[/tex] and

default variance = [tex]\frac{\sigma}{\sqrt{n}}[/tex]


Related Questions

Show every subsequence of a subsequence of a given sequence is itselfa subsequence of the given sequence. Hint: Define subsequences asin (3) of Definition 11.1 g

Answers

Answer: Suppose that [tex]S_{n}[/tex],  [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that  [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex]  ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required. 

Step-by-step explanation:

If you suppose that [tex]S_{n}[/tex],  [tex]K_{n}[/tex] and [tex]A_{n}[/tex]  are all representing three sequences respectively, and you also suppose that  [tex]A_{n}[/tex] is a subset (in other words subsequence) of [tex]K_{n}[/tex] and [tex]K_{n}[/tex]  is a subset (in other words subsequence) of [tex]S_{n}[/tex], where n takes its values from the set of positive integers. We can safely say that [tex]A_{n}[/tex] is a subsequence of [tex]S_{n}[/tex] and this can demosnstrated mathematically as follows:

Suppose that [tex]S_{n}[/tex],  [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that  [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex]  ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required. 

Keiran wants to save $56 for a gift for his mother’s birthday in 14 weeks. How much money must he save each week?

Answers

$4 every week hope this helps you

HELP ME ITS MY LAST PROBLEM ITS PRECAL HELP MEEEE

Answers

Step-by-step explanation:

LHS = (tan β + Sec β)(1 - sin β)

= ((sin β / cos β) + (1/cos β))(1-sin β)

= ((1+ sin β)*(1- sin β))/cos β

= (1 - sin^2 β) / cos β

= cos^2 β / cos β

= cos β

= RHS

Hence proved

answer quick 50 points

Answers

Answer: The 1/10, 0.22, then 1/4.

Second Picture: 9.8, Pie^2, then 99

Answer:

The 1/10, 0.22, then 1/4.

Second Picture: 9.8, Pie^2, then 99

If jacks age is three years more than twice Trinas age, t, then which of the following represents the sum of their ages in terms of it

1. 2t+3
2. 2t +3t
3. 2t^2+3t
4. 3t+3

Answers

Not gonna lie to you bud I have no idea

A bookstore sells 1 book for $14.75. Which table represents the relationship between number of books and the total price?

Answers

Answer:

Number of books sold = 14.75*x

Step-by-step explanation:

What is the critical value for a chi-square test with 13 degrees of freedom at the 1 percent level of significance

Answers

Answer: 27.688

Step-by-step explanation:

The critical chi-square value [tex]\chi^2_{(df,\alpha)}[/tex] depends on significance level ([tex]\alpha[/tex])  and degrees of freedom (df) .

Given significance level: ([tex]\alpha[/tex]) = 1% = 0.01

Degrees of freedom (df)= 13

From the chi-square table, the critical chi-square value for df = 13 and [tex]\alpha =0.01[/tex]

is [tex]\chi^2_{(df,\alpha)}=27.688[/tex]

Hence, the  required critical value = 27.688

2. I mark as brainliest ​

Answers

Answer:

3.55 miles

Step-by-step explanation:

You add the mileage of the two trails which is 1.75+1.8=3.55 miles

What number should be placed in the box to help complete the division calculation?


Long division setup showing an incomplete calculation. 17 is in the divisor, 2635 is in the dividend, and 1 hundreds and 5 tens is written in the quotient. 1700 is subtracted from 2635 to give 935. An unknown value represented by a box is being subtracted from 935.


Numerical Answers Expected!


Answer for Blank 1:


I WILL GIVE LOTS OF BRAINYS 20

PLEASE HELP I WILL DO ENEYTHING PLEASE
l. l. l_____. l. l__-__
l------- l l_____. l l. ____ l
l. l. l_____. l_____ l

Answers

Answer:

780

Step-by-step explanation:

17 is the divisor, while 2635 is the dividend. So that,

[tex]\frac{2635}{17}[/tex] = 155

The quotient = 155 = 1 hundreds, 5 tens and 5 units

Also,

2635 - 1700 = 935

Hence, let the unknown value be represented by x. Then;

935 - x

The answer of the subtraction should be equal to the quotient of the division.

935 - x = 155

935 - 155 = x

780 = x

Therefore the unknown value represented by a box is 780.

Answer:

780

Step-by-step explanation:

What is the answer to this question and please give an explanation. Please help me. Thank you.​

Answers

Answer:

No, your classmate is not correct because the line isn't a line segment but a line and a line is never ending so their isn't a middle and their can't be those angles.

What is 4/5 divided 1/3

Answers

The answer would be 2.4, or in fraction form 12/5. Please mark brainliest <3

A construction worker estimates that a kitchen will take 1 Person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job?

A) 4

B) 5

C) 6

D) 7

Answers

Answer:

the answer it 5 also my proff is on Google

y+7=y–3 how many solutions does this equation have?

Answers

Answer:

No value

Step-by-step explanation:

Y has zero solutions

A jet travels 500 miles in 5 hours . At this rate ,how far could the jet fly in 9 hours ? What is the rate of speed of the jet?

Answers

the rate of speed of the jet is 100miles per hour, so in 9 hours, jet could fly 900 miles.

I hope this helps

Answer:

900 miles it will fly in 9 hours

Step-by-step explanation:

the rate of the speed of the jet is 100 miles per hour because if the jet traveled 500 miles in 5 hours that means it's been flying at 100 miles per hour.

A man bought two books for RS 1040. He sold one at a loss of 15% and other at a profit of 36% then he found that each book was sold for the same price. Find the cost price of each book.​

Answers

Answer:

640 & 400

Step-by-step explanation:

Cost of books: x and 1040-x

x sold at a loss of 15%= .85 x

1040 - x sold at a profit of 36% = (1040 - x) *1.36

x*.85= (1040-x)*1.36

0.85x+1.36x= 1040*1.36

2.21x= 1414.4

x= 1414.4/ 2.21

x= Rs. 640

Rs. 1040 - 640 = 400

Shelley and her friend are working together on a group homework assignment. Shelley has
completed 2/12 of the problems and her friend has completed another 9/12 of them.
Together, what fraction of the problems have they completed so far?

Answers

Answer: The answer is 11/12 problems

Step-by-step explanation:

You add 2/12 + 9/12 which gives you a result of 11/12

A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to a family's financial stress, the second or third one might not be as "expensive" since they would already be sharing one roof, could share clothing, etc. The researcher has access to a large community of parents where 15% have one child under 18 in their home, 65% of parents have two children, and 20% of parents have three or more children. Rounded to the nearest whole number, the probability that any given family who is selected has two or more children at home is ________ %?

Answers

Answer:

The probability that any given family who is selected has two or more children at home is 85%.

Step-by-step explanation:

The information provided is as follows:

Number of Children        Probability

             1                            0.15

             2                            0.65

          > 3                            0.20

Compute the probability that any given family who is selected has two or more children at home as follows:

P (At least 2 Children) = P (2 children) + P (More than 3 children)

                                   = 0.65 + 0.20

                                   = 0.85

Thus, the probability that any given family who is selected has two or more children at home is 85%.


Caroline wants to buy a pair of shoes that has an original price of $50.00. She has a coupon for a 40% discount off of the original price. What is the final
cost for Caroline's shoes?
А
$10
B
$20
С
$30
ОО
D
$48

Answers

Answer:

your new should be c $20

The final cost is $30.

Option C is the correct  answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The original price of the coat = $50

Discount = 40%

Now,

The final cost.

= (100 - 40)% of 50

= 60% x 50

= 60/100 x 50

= $30

Thus,

The final cost is $30.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ6

let f(x) = 2x - 1, g(x) = x²- 2 x+ 1. find (f• g ) (x)​

Answers

Answer:

f•g(x) = f(x)•g(x)

f•g(x) = (2x-1) (x²-2x+1)

= 2x³-4x²+2x-x²+2x-1

= 2x³-5x²+4x-1

HELPPP ASAPPP
write an equation for each line
line L(the red line)___
line p(the blue line)___
line m(the black line)___
line n(the green line)___

Answers

Answer: Line L : Y=4

Line P : X=-4

Line M : Y= -2x+4

Line N : Y= 1x-1

Step-by-step explanation:

Find the slope of the line passing through the points (8,-4) and (-6,-3).

Anybody know this ?

Answers

Answer:

= -1/14

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -3 - -4)/( -6 -8)

   = ( -3+4)/( -6-8)

   1/-14

= -1/14

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution.

Answers

Answer:

The probability is   [tex]P(X  >300 ) = 0.97219 [/tex]

Step-by-step explanation:

From the question we are told that

 The capacity of  an Airliner  is  k =  300 passengers

 The sample size n =  320 passengers

  The probability the a randomly selected passenger shows up on to the airport

    [tex]p = 0.96[/tex]

Generally the mean is mathematically represented as

    [tex]\mu  =  n*  p[/tex]

  => [tex]\mu  =  320 *  0.96[/tex]

    => [tex]\mu  = 307.2[/tex]

Generally the standard deviation is  

    [tex]\sigma =  \sqrt{n *  p *  (1 -p ) }[/tex]

=>  [tex]\sigma =  \sqrt{320  *  0.96 *  (1 -0.96 ) }[/tex]

=> [tex]\sigma =3.50 [/tex]

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

  [tex]P(X  > k ) =  P( \frac{ X -\mu }{\sigma }  >  \frac{k - \mu}{\sigma } )[/tex]

Here [tex]\frac{ X -\mu }{\sigma }  =Z (The \ standardized \  value \  of  \ X )[/tex]

=>[tex]P(X  >300 ) =  P(Z >  \frac{300 - 307.2}{3.50} )[/tex]

Now applying  continuity correction we have

    [tex]P(X  >300 ) =  P(Z >  \frac{[300+0.5] - 307.2}{3.50} )[/tex]    

=>    [tex]P(X  >300 ) =  P(Z >  \frac{[300.5] - 307.2}{3.50} )[/tex]

=>    [tex]P(X  >300 ) =  P(Z >  -1.914 )[/tex]

From the z-table  

    [tex]P(Z >  -1.914 ) =  0.97219[/tex]

So

    [tex]P(X  >300 ) = 0.97219 [/tex]

6. Jack is x years old
Jill is 8 years older than Jack.
Mary is three times older than Mary.
The Sum of their ages is 67.
(a) Form a simplified equation in terms of x
(b) Solve the equation and work out Rebecca's Mary's and Jill's ages

Answers

Answer:

i didn't understand in third line mate

Can someone please help me with this?

Answers

Answer:

I'm gonna say b

Step-by-step explanation:

b should be the answer

Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 4, y = 16.

Answers

Answer:

The answer is "[tex]\bold{\frac{1024}{3}}[/tex]".

Step-by-step explanation:

[tex]= \int\limits^{4}_{-4} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\ = 2 \int\limits^{4}_{0} \int\limits^{4}_{0} (16-x^2) dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} 16x -\frac{x^3}{3} dx \ dz \\\\= 2 (16x -\frac{x^3}{3})^4_{0} \ dz \\\\= 2 (4) (16x -\frac{64}{3}) \\\\=8(\frac{2}{3} \times 64) \\\\=(\frac{16\times 64}{3} ) \\\\= \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

In this question we must use the triple integral formula in rectangular coordinates to determine the volume of the solid ([tex]V[/tex]):

[tex]V = \iiint dy\,dx\,dz[/tex] (1)

The solid is constrained by the following intervals:

[tex]y \in [x^{2}, 16][/tex], [tex]x \in [-4, 4][/tex], [tex]z\in [0, 4][/tex]

Then, the triple integral is now described:

[tex]V = \int\limits_{0}^{4}\int\limits_{-4}^{4}\int\limits_{x^{2}}^{16} dy\,dx\,dz[/tex]

Now we proceed to integrate thrice to obtain the volume:

[tex]V = \int \limits_{0}^{4}\int \limits_{-4}^{4} (16-x^{2})\,dx\,dz[/tex]

[tex]V = \int\limits_{0}^{4} \left(16\cdot x - \frac{x^{3}}{3}\right)\left|\limits_{-4}^{4} dz[/tex]

[tex]V = \frac{256}{3} \int\limits_{0}^{4} dz = \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

We kindly invite to check this question on triple integrals: https://brainly.com/question/19484372

PLEASE HELP !!! Find the missing side lengths

Answers

where is the question?

At one gas station gas cost $2.75 per gallon write an equation that relates the total cost C to the number of gallons of gas purchased G write as algebraic expression with variables for an answer

Answers

the answer is $2.75G=C

find the value of x

need to show work

Thank you guys

Answers

Answer:

Since they are vertical angles (or angles opposite each other), you set them equal to each other.

5x + 4 = 74

5x = 70

x = 15

Prove the following statement directly from the definitions. The difference of any two rational numbers is a rational number. Proof: Suppose r and s are any two rational numbers. By definition of rational, r

Answers

Answer:

- Integers, b ≠ 0 and d ≠ 0.

- r - s = (ad - bc)/bd.

- products and differences of integers are integers.

-  zero product property

- quotient.

Step-by-step explanation:

Rational numbers are integers that can take the form of numerator divided by a denominator, that is to say in the form of 'a/b;. So, we are given from the question or problem to prove and fill in the gap the correct information or data:

For the first part of the question:

The missing data in the gap = Integers; b ≠ 0 and d ≠ 0. That is to say the denominators can not be zero or say that the denominators are non zero. This is one of the properties or let us say one of the ways of identifying a Rational number.

For the second part:

The missing data in the gap = a/b - c/d =  (ad - bc)/bd. This is the representation in  a simplified form.

For the third part:

The missing data or information = products and differences of integers are integers.

For the fourth part:

The missing data or information: zero product property, that is to say the product of the numerators is not equal to zero, or it is non zero.

For the fifth part:

The missing data or information: quotient.  r - s is a quotient of two integers.

t> -5
can someone show step by step how to solve this equation?

Answers

Answer: The equation cannot be simplified any further.

Explanation: The variable(t) is greater than any number than negative five.

Plz mark brainliest:)

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PREGUNTA ESCRITA: CONTESTAR UNA ORACIN COMPLETA:ej.Adnde quiere tu familia que t vayas para las vacaciones?_________________________________________________________________________________________________(3.5)VII. PREGUNTA ORAL: CONTESTAR POR ESCRITA:ej. Quin prefieres que sustituya a John Lewis ahora?______________________________________________________________________________________________ A company is about to begin production of a new product. The manager of the department that will produce one of the components for the new product wants to know how often the machine used to produce the item will be available for other work. The machine will produce the item at a rate of 200 units a day. Eighty units will be used daily in assembling the final product. Assembly will take place five days a week, 50 weeks a year. The manager estimates that it will take a full day to get the machine ready for a production run, at a cost of $250. Inventory holding costs will be $10 a year.Required:a. What run quantity should be used to minimize total annual costs? b. What is the length of a production run in days? c. During production, at what rate will inventory build-up? d. lf the manager wants to run another job between runs of this item, and needs a minimum of 10 days per cycle for the other work, will there be enough time? e. Given your answer to part d, the manager wants to explore options that will allow this other job to be performed using this equipment. Name three options the manager can consider. f. Suppose the manager decides to increase the run size of the new product. How many additional units would be needed to just accommodate the other job? How much will that increase the total annual cost? What is the volume of 22.5 g of metal with a density of 2.81 g/cm